114302166121 has 24 divisors (see below), whose sum is σ = 138959265032. Its totient is φ = 93325478400.

The previous prime is 114302166103. The next prime is 114302166157. The reversal of 114302166121 is 121661203411.

It can be written as a sum of positive squares in 4 ways, for example, as 439112025 + 113863054096 = 20955^2 + 337436^2 .

It is not a de Polignac number, because 114302166121 - 2¹⁵ = 114302133353 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114302166121.

It is not an unprimeable number, because it can be changed into a prime (114302166521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 923760 + ... + 1040161.

Almost surely, 2^114302166121 is an apocalyptic number.

114302166121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114302166121 is a deficient number, since it is larger than the sum of its proper divisors (24657098911).

114302166121 is a wasteful number, since it uses less digits than its factorization.

114302166121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963993 (or 1963982 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 114302166121 its reverse (121661203411), we get a palindrome (235963369532).

The spelling of 114302166121 in words is "one hundred fourteen billion, three hundred two million, one hundred sixty-six thousand, one hundred twenty-one".